### Home > CALC > Chapter 5 > Lesson 5.3.2 > Problem5-125

5-125.

FUNCTIONS FROM TABLES, Part Three

Find the function, $f(x)$, that fits the table shown below.

1. What kind of function does this appear to be?

Is it linear or quadratic? Is it exponential? Or trigometric?

Compute the finite differences and look for a pattern.

2. How does the function change?

3. Do you know the value of $f(0.5)$?

Extend the pattern.

$x$

$f(x)$

$0$

$1$

$1$

$5$

$2$

$25$

$3$

$125$

$4$

$625$

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